Work

Quadratic Programming Algorithm for Dual Solution of Mortar-based Contact Problems in Linear Elasticity

Year: 2024

Type: conference-paper

Abstract: This paper presents an investigation into the numerical solution of linear elasticity contact problems utilizing the Finite Element Method for discretization, the Mortar method for handling non-penetration conditions, dual formulation for problem reduction, and optimal Quadratic Programming algorithms for scalable solution of dual problem.The study outlines the implementation of a computational pipeline for solving such problems and evaluates its performance on selected benchmark.The paper serves as an overview of the technique and can be regarded as a foundation for future enhancements or modifications to individual steps.

Source: Civil-comp conferences

DOI: 10.4203/ccc.9.10.5

Authors: L. Pospíšil, T. Světlík, R. Varga, M. Cermak

Institution: VSB - Technical University of Ostrava

Language: English

Topic: Contact Mechanics and Variational Inequalities

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funder: Grantová Agentura České Republiky

Award: Development of iterative algorithms for solving contact problems emerging in the analysis of steel structures bolt connections